On the Hyers–Ulam stability of the linear differential equation

On the Hyers–Ulam stability of the linear differential equation
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DOI:
10.1016/j.jmaa.2011.02.051
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发表时间:
2011-09
影响因子:
1.3
通讯作者:
D. Popa;I. Raşa
D. Popa;I. Raşa
中科院分区:
数学3区
文献类型:
--
作者:
D. Popa;I. Raşa

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我们得到了Banach空间中线性微分方程的广义Hyers-Ulam稳定性的一些结果。因此,我们改进了对摄动解和精确解之间差值的一些已知估计。
We obtain some results on generalized Hyers–Ulam stability of the linear differential equation in a Banach space. As a consequence we improve some known estimates of the difference between the perturbed and the exact solutions.